Spin and Charge Order in the Doped Hubbard Model: Long-Wavelength Collective Modes

Chia-Chen Chang and Shiwei Zhang
Phys. Rev. Lett. 104, 116402 – Published 18 March 2010

Abstract

Determining the properties of the two-dimensional Hubbard model is an outstanding problem in physics. Applying recent advances in constrained path auxiliary-field quantum Monte Carlo techniques and simulating large rectangular supercells, we characterize the magnetic and charge properties in the ground state as a function of doping. At intermediate interaction strengths, an incommensurate spin density wave (SDW) state is found, with antiferromagnetic order and essentially homogeneous charge correlation. The wavelength of the collective mode decreases with doping, as does its magnitude. The SDW order vanishes beyond a critical doping. As the interaction is increased, the holes go from a wavelike (delocalized) to a particlelike (localized) state, and charge ordering develops which eventually evolves into stripelike states.

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  • Received 5 October 2009

DOI:https://doi.org/10.1103/PhysRevLett.104.116402

©2010 American Physical Society

Authors & Affiliations

Chia-Chen Chang1 and Shiwei Zhang1,2,3

  • 1Department of Physics, College of William and Mary, Williamsburg, Virginia 23187, USA
  • 2Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 3Department of Physics, Renmin University of China, Beijing 100872, China

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Issue

Vol. 104, Iss. 11 — 19 March 2010

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